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Finding the Third Proportional to 34,260 and 51,391

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Solution

The third proportional to 34,260 and 51,391 is: 77,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,260 : 51,391 = 51,391 : x
  2. Step 2: Convert to fraction form
    34,260/51,391 = 51,391/x
  3. Step 3: Cross multiply
    34,260x = 51,391 × 51,391
  4. Step 4: Simplify right side
    34,260x = 2,641,034,881
  5. Step 5: Solve for x
    x = 2,641,034,881/34,260
  6. Step 6: Final answer
    x = 77,088.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.